90456071040 has 384 divisors, whose sum is σ = 316294917120. Its totient is φ = 23819857920.

The previous prime is 90456071021. The next prime is 90456071059. The reversal of 90456071040 is 4017065409.

90456071040 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 607 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (90456071021) and next prime (90456071059).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90456070986 and 90456071004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260680147 + ... + 260680493.

It is an arithmetic number, because the mean of its divisors is an integer number (823684680).

Almost surely, 2^90456071040 is an apocalyptic number.

90456071040 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 90456071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158147458560).

90456071040 is an abundant number, since it is smaller than the sum of its proper divisors (225838846080).

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

90456071040 is a wasteful number, since it uses less digits than its factorization.

90456071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 90456071040 in words is "ninety billion, four hundred fifty-six million, seventy-one thousand, forty".