40225737779136 has 2016 divisors, whose sum is σ = 159300812256768. Its totient is φ = 9953270046720.

The previous prime is 40225737779111. The next prime is 40225737779147. The reversal of 40225737779136 is 63197773752204.

40225737779136 is a `hidden beast` number, since 4 + 0 + 2 + 257 + 377 + 7 + 9 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12076172991 + ... + 12076176321.

It is an arithmetic number, because the mean of its divisors is an integer number (79018260048).

Almost surely, 2^{40225737779136} is an apocalyptic number.

40225737779136 is a gapful number since it is divisible by the number (46) 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 40225737779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79650406128384).

40225737779136 is an abundant number, since it is smaller than the sum of its proper divisors (119075074477632).

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

40225737779136 is a wasteful number, since it uses less digits than its factorization.

40225737779136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 40225737779136 in words is "forty trillion, two hundred twenty-five billion, seven hundred thirty-seven million, seven hundred seventy-nine thousand, one hundred thirty-six".