40256367840 has 432 divisors, whose sum is σ = 150622787952. Its totient is φ = 9784958976.

The previous prime is 40256367793. The next prime is 40256367847. The reversal of 40256367840 is 4876365204.

40256367840 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 636 + 7 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40256367847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20197884 + ... + 20199876.

It is an arithmetic number, because the mean of its divisors is an integer number (348663861).

Almost surely, 2^40256367840 is an apocalyptic number.

40256367840 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 40256367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75311393976).

40256367840 is an abundant number, since it is smaller than the sum of its proper divisors (110366420112).

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

40256367840 is a wasteful number, since it uses less digits than its factorization.

40256367840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40256367840 in words is "forty billion, two hundred fifty-six million, three hundred sixty-seven thousand, eight hundred forty".