1373428703520 has 480 divisors, whose sum is σ = 4888024816752. Its totient is φ = 363164663808.

The previous prime is 1373428703513. The next prime is 1373428703527. The reversal of 1373428703520 is 253078243731.

It is a happy number.

1373428703520 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 42 + 87 + 0 + 3 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1373428703513) and next prime (1373428703527).

It can be written as a sum of positive squares in 8 ways, for example, as 1283263027344 + 90165676176 = 1132812^2 + 300276^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1373428703527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1329552924 + ... + 1329553956.

Almost surely, 2^{1373428703520} is an apocalyptic number.

1373428703520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1373428703520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444012408376).

1373428703520 is an abundant number, since it is smaller than the sum of its proper divisors (3514596113232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1373428703520 is a wasteful number, since it uses less digits than its factorization.

1373428703520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 1373428703520 in words is "one trillion, three hundred seventy-three billion, four hundred twenty-eight million, seven hundred three thousand, five hundred twenty".