91090916411040 has 288 divisors, whose sum is σ = 382581849476736. Its totient is φ = 19219182336000.

The previous prime is 91090916411039. The next prime is 91090916411059. The reversal of 91090916411040 is 4011461909019.

91090916411040 is a `hidden beast` number, since 9 + 109 + 0 + 91 + 6 + 411 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 347438086 + ... + 347700165.

It is an arithmetic number, because the mean of its divisors is an integer number (1328409199572).

Almost surely, 2^{91090916411040} is an apocalyptic number.

91090916411040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91090916411040 is an abundant number, since it is smaller than the sum of its proper divisors (291490933065696).

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

91090916411040 is a wasteful number, since it uses less digits than its factorization.

91090916411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695138292 (or 695138281 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 91090916411040 in words is "ninety-one trillion, ninety billion, nine hundred sixteen million, four hundred eleven thousand, forty".