980345990400 has 864 divisors, whose sum is σ = 3931710854400. Its totient is φ = 210000936960.

The previous prime is 980345990381. The next prime is 980345990431. The reversal of 980345990400 is 4099543089.

It is a super-2 number, since 2×980345990400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 632888826 + ... + 632890374.

Almost surely, 2^980345990400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980345990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965855427200).

980345990400 is an abundant number, since it is smaller than the sum of its proper divisors (2951364864000).

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

980345990400 is a wasteful number, since it uses less digits than its factorization.

980345990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 980345990400 in words is "nine hundred eighty billion, three hundred forty-five million, nine hundred ninety thousand, four hundred".