90282969040 has 480 divisors, whose sum is σ = 252911812608. Its totient is φ = 29857766400.

The previous prime is 90282969037. The next prime is 90282969059. The reversal of 90282969040 is 4096928209.

It is a happy number.

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, 710889457 + ... + 710889583.

Almost surely, 2^90282969040 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 90282969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126455906304).

90282969040 is an abundant number, since it is smaller than the sum of its proper divisors (162628843568).

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

90282969040 is a wasteful number, since it uses less digits than its factorization.

90282969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 90282969040 in words is "ninety billion, two hundred eighty-two million, nine hundred sixty-nine thousand, forty".