94080407040 has 960 divisors, whose sum is σ = 364956641280. Its totient is φ = 22943416320.

The previous prime is 94080407021. The next prime is 94080407041. The reversal of 94080407040 is 4070408049.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×94080407040² (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 = 94080406986 and 94080407004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94080407041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1133498839 + ... + 1133498921.

It is an arithmetic number, because the mean of its divisors is an integer number (380163168).

Almost surely, 2^94080407040 is an apocalyptic number.

94080407040 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 94080407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182478320640).

94080407040 is an abundant number, since it is smaller than the sum of its proper divisors (270876234240).

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

94080407040 is a wasteful number, since it uses less digits than its factorization.

94080407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 94080407040 in words is "ninety-four billion, eighty million, four hundred seven thousand, forty".