40402024204200 has 192 divisors, whose sum is σ = 126087714393600. Its totient is φ = 10701504864000.

The previous prime is 40402024204183. The next prime is 40402024204273. The reversal of 40402024204200 is 240242020404.

40402024204200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1741229799 + ... + 1741253001.

It is an arithmetic number, because the mean of its divisors is an integer number (656706845800).

Almost surely, 2^{40402024204200} is an apocalyptic number.

40402024204200 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 40402024204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63043857196800).

40402024204200 is an abundant number, since it is smaller than the sum of its proper divisors (85685690189400).

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

40402024204200 is a wasteful number, since it uses less digits than its factorization.

40402024204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42592 (or 42583 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40402024204200 its reverse (240242020404), we get a palindrome (40642266224604).

The spelling of 40402024204200 in words is "forty trillion, four hundred two billion, twenty-four million, two hundred four thousand, two hundred".