40028206024200 has 192 divisors, whose sum is σ = 125076397455360. Its totient is φ = 10589132574720.

The previous prime is 40028206024189. The next prime is 40028206024309. The reversal of 40028206024200 is 242060282004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1147021152 + ... + 1147056048.

It is an arithmetic number, because the mean of its divisors is an integer number (651439570080).

Almost surely, 2^{40028206024200} is an apocalyptic number.

40028206024200 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 40028206024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62538198727680).

40028206024200 is an abundant number, since it is smaller than the sum of its proper divisors (85048191431160).

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

40028206024200 is a wasteful number, since it uses less digits than its factorization.

40028206024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50096 (or 50087 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 40028206024200 in words is "forty trillion, twenty-eight billion, two hundred six million, twenty-four thousand, two hundred".