90416042541 has 48 divisors (see below), whose sum is σ = 144251902080. Its totient is φ = 54568483200.

The previous prime is 90416042537. The next prime is 90416042557. The reversal of 90416042541 is 14524061409.

90416042541 is a `hidden beast` number, since 9 + 0 + 4 + 1 + 604 + 2 + 5 + 41 = 666.

It is not a de Polignac number, because 90416042541 - 2² = 90416042537 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 90416042496 and 90416042505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90416042581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2871280 + ... + 2902598.

It is an arithmetic number, because the mean of its divisors is an integer number (3005247960).

Almost surely, 2^90416042541 is an apocalyptic number.

It is an amenable number.

90416042541 is a deficient number, since it is larger than the sum of its proper divisors (53835859539).

90416042541 is a wasteful number, since it uses less digits than its factorization.

90416042541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31599 (or 31574 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 90416042541 in words is "ninety billion, four hundred sixteen million, forty-two thousand, five hundred forty-one".