40256421237900 has 1296 divisors, whose sum is σ = 156657287666880. Its totient is φ = 8591450112000.

The previous prime is 40256421237841. The next prime is 40256421237931. The reversal of 40256421237900 is 973212465204.

40256421237900 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 64 + 212 + 379 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 100390077700 + ... + 100390078100.

It is an arithmetic number, because the mean of its divisors is an integer number (120877536780).

Almost surely, 2^{40256421237900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40256421237900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78328643833440).

40256421237900 is an abundant number, since it is smaller than the sum of its proper divisors (116400866428980).

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

40256421237900 is a wasteful number, since it uses less digits than its factorization.

40256421237900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40256421237900 in words is "forty trillion, two hundred fifty-six billion, four hundred twenty-one million, two hundred thirty-seven thousand, nine hundred".