90422155837440 has 512 divisors, whose sum is σ = 367424231904000. Its totient is φ = 20667914256384.

The previous prime is 90422155837427. The next prime is 90422155837487. The reversal of 90422155837440 is 4473855122409.

It is a happy number.

90422155837440 is a `hidden beast` number, since 9 + 0 + 4 + 2 + 2 + 15 + 583 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29505726 + ... + 32425794.

Almost surely, 2^{90422155837440} is an apocalyptic number.

90422155837440 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 90422155837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183712115952000).

90422155837440 is an abundant number, since it is smaller than the sum of its proper divisors (277002076066560).

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

90422155837440 is an equidigital number, since it uses as much as digits as its factorization.

90422155837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920120 (or 2920086 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 90422155837440 in words is "ninety trillion, four hundred twenty-two billion, one hundred fifty-five million, eight hundred thirty-seven thousand, four hundred forty".