1377031864320 has 1920 divisors, whose sum is σ = 6120141619200. Its totient is φ = 286654464000.

The previous prime is 1377031864217. The next prime is 1377031864321. The reversal of 1377031864320 is 234681307731.

1377031864320 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 0 + 318 + 6 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×1377031864320² (a number of 25 digits) contains 22 as substring.

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 (1377031864321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9119416245 + ... + 9119416395.

It is an arithmetic number, because the mean of its divisors is an integer number (3187573760).

Almost surely, 2^{1377031864320} is an apocalyptic number.

1377031864320 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 1377031864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060070809600).

1377031864320 is an abundant number, since it is smaller than the sum of its proper divisors (4743109754880).

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

1377031864320 is a wasteful number, since it uses less digits than its factorization.

1377031864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1377031864320 in words is "one trillion, three hundred seventy-seven billion, thirty-one million, eight hundred sixty-four thousand, three hundred twenty".