980451901490040 has 2560 divisors, whose sum is σ = 4114289811456000. Its totient is φ = 204355250749440.

The previous prime is 980451901490021. The next prime is 980451901490053. The reversal of 980451901490040 is 40094109154089.

980451901490040 is a `hidden beast` number, since 9 + 8 + 0 + 451 + 9 + 0 + 149 + 0 + 0 + 40 = 666.

It is a super-2 number, since 2×980451901490040² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 445053063579 + ... + 445053065781.

It is an arithmetic number, because the mean of its divisors is an integer number (1607144457600).

Almost surely, 2^{980451901490040} is an apocalyptic number.

980451901490040 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 980451901490040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057144905728000).

980451901490040 is an abundant number, since it is smaller than the sum of its proper divisors (3133837909965960).

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

980451901490040 is a wasteful number, since it uses less digits than its factorization.

980451901490040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 980451901490040 in words is "nine hundred eighty trillion, four hundred fifty-one billion, nine hundred one million, four hundred ninety thousand, forty".