40005652800 has 168 divisors, whose sum is σ = 131366540416. Its totient is φ = 10658856960.

The previous prime is 40005652763. The next prime is 40005652823. The reversal of 40005652800 is 825650004.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6827472 + ... + 6833328.

Almost surely, 2^40005652800 is an apocalyptic number.

40005652800 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 40005652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65683270208).

40005652800 is an abundant number, since it is smaller than the sum of its proper divisors (91360887616).

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

40005652800 is a wasteful number, since it uses less digits than its factorization.

40005652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 40005652800 in words is "forty billion, five million, six hundred fifty-two thousand, eight hundred".