40207449600 has 240 divisors, whose sum is σ = 147582153840. Its totient is φ = 10721894400.

The previous prime is 40207449589. The next prime is 40207449629. The reversal of 40207449600 is 694470204.

40207449600 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 7 + 4 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287430 + ... + 403770.

It is an arithmetic number, because the mean of its divisors is an integer number (614925641).

Almost surely, 2^40207449600 is an apocalyptic number.

40207449600 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 40207449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73791076920).

40207449600 is an abundant number, since it is smaller than the sum of its proper divisors (107374704240).

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

40207449600 is a wasteful number, since it uses less digits than its factorization.

40207449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116378 (or 116351 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40207449600 in words is "forty billion, two hundred seven million, four hundred forty-nine thousand, six hundred".