90240428678400 has 6480 divisors, whose sum is σ = 461270084533440. Its totient is φ = 17308853452800.

The previous prime is 90240428678371. The next prime is 90240428678509. The reversal of 90240428678400 is 487682404209.

90240428678400 is a `hidden beast` number, since 90 + 2 + 4 + 0 + 4 + 2 + 86 + 78 + 400 = 666.

90240428678400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×90240428678400² (a number of 29 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 719 ways as a sum of consecutive naturals, for example, 6941571436794 + ... + 6941571436806.

Almost surely, 2^{90240428678400} is an apocalyptic number.

90240428678400 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 90240428678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230635042266720).

90240428678400 is an abundant number, since it is smaller than the sum of its proper divisors (371029655855040).

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

90240428678400 is an frugal number, since it uses more digits than its factorization.

90240428678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 90240428678400 in words is "ninety trillion, two hundred forty billion, four hundred twenty-eight million, six hundred seventy-eight thousand, four hundred".