40106919600 has 720 divisors, whose sum is σ = 161151304704. Its totient is φ = 9144576000.

The previous prime is 40106919547. The next prime is 40106919661. The reversal of 40106919600 is 691960104.

40106919600 is a `hidden beast` number, since 40 + 1 + 0 + 6 + 9 + 1 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45420759 + ... + 45421641.

Almost surely, 2^40106919600 is an apocalyptic number.

40106919600 is a gapful number since it is divisible by the number (40) 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 40106919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80575652352).

40106919600 is an abundant number, since it is smaller than the sum of its proper divisors (121044385104).

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

40106919600 is a wasteful number, since it uses less digits than its factorization.

40106919600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 40106919600 in words is "forty billion, one hundred six million, nine hundred nineteen thousand, six hundred".