981501926400 has 1056 divisors, whose sum is σ = 3802790177280. Its totient is φ = 247584522240.

The previous prime is 981501926351. The next prime is 981501926401. The reversal of 981501926400 is 4629105189.

981501926400 is a `hidden beast` number, since 9 + 8 + 1 + 50 + 192 + 6 + 400 = 666.

It is a super-2 number, since 2×981501926400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981501926401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1701042912 + ... + 1701043488.

Almost surely, 2^981501926400 is an apocalyptic number.

981501926400 is a gapful number since it is divisible by the number (90) 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 981501926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901395088640).

981501926400 is an abundant number, since it is smaller than the sum of its proper divisors (2821288250880).

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

981501926400 is a wasteful number, since it uses less digits than its factorization.

981501926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 981501926400 in words is "nine hundred eighty-one billion, five hundred one million, nine hundred twenty-six thousand, four hundred".