1495978460928 has 1080 divisors, whose sum is σ = 5344068169440. Its totient is φ = 414879252480.

The previous prime is 1495978460923. The next prime is 1495978460939. The reversal of 1495978460928 is 8290648795941.

1495978460928 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 9 + 7 + 8 + 4 + 609 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1495978460923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6420508300 + ... + 6420508532.

It is an arithmetic number, because the mean of its divisors is an integer number (4948211268).

Almost surely, 2^{1495978460928} is an apocalyptic number.

1495978460928 is a gapful number since it is divisible by the number (18) 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 1495978460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672034084720).

1495978460928 is an abundant number, since it is smaller than the sum of its proper divisors (3848089708512).

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

1495978460928 is an equidigital number, since it uses as much as digits as its factorization.

1495978460928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 1495978460928 in words is "one trillion, four hundred ninety-five billion, nine hundred seventy-eight million, four hundred sixty thousand, nine hundred twenty-eight".