91920407040 has 1920 divisors, whose sum is σ = 437551994880. Its totient is φ = 17915904000.

The previous prime is 91920406999. The next prime is 91920407041. The reversal of 91920407040 is 4070402919.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×91920407040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 91920406986 and 91920407004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91920407041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 910102990 + ... + 910103090.

It is an arithmetic number, because the mean of its divisors is an integer number (227891664).

Almost surely, 2^91920407040 is an apocalyptic number.

91920407040 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 91920407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218775997440).

91920407040 is an abundant number, since it is smaller than the sum of its proper divisors (345631587840).

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

91920407040 is a wasteful number, since it uses less digits than its factorization.

91920407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 91920407040 its reverse (4070402919), we get a palindrome (95990809959).

The spelling of 91920407040 in words is "ninety-one billion, nine hundred twenty million, four hundred seven thousand, forty".