1378616747040 has 960 divisors, whose sum is σ = 5541381901440. Its totient is φ = 319978045440.

The previous prime is 1378616746981. The next prime is 1378616747077. The reversal of 1378616747040 is 407476168731.

It is a happy number.

1378616747040 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 6 + 167 + 470 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 771469027 + ... + 771470813.

It is an arithmetic number, because the mean of its divisors is an integer number (5772272814).

Almost surely, 2^{1378616747040} is an apocalyptic number.

1378616747040 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 1378616747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770690950720).

1378616747040 is an abundant number, since it is smaller than the sum of its proper divisors (4162765154400).

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

1378616747040 is a wasteful number, since it uses less digits than its factorization.

1378616747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 1378616747040 in words is "one trillion, three hundred seventy-eight billion, six hundred sixteen million, seven hundred forty-seven thousand, forty".