40129129495728 has 240 divisors, whose sum is σ = 138664176938560. Its totient is φ = 10549692481536.

The previous prime is 40129129495667. The next prime is 40129129495747. The reversal of 40129129495728 is 82759492192104.

40129129495728 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 9 + 12 + 9 + 49 + 572 + 8 = 666.

It is a super-2 number, since 2×40129129495728² (a number of 28 digits) contains 22 as substring.

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

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, 790393 + ... + 8993496.

Almost surely, 2^{40129129495728} is an apocalyptic number.

40129129495728 is a gapful number since it is divisible by the number (48) 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 40129129495728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69332088469280).

40129129495728 is an abundant number, since it is smaller than the sum of its proper divisors (98535047442832).

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

40129129495728 is a wasteful number, since it uses less digits than its factorization.

40129129495728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9784236 (or 9784227 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 40129129495728 in words is "forty trillion, one hundred twenty-nine billion, one hundred twenty-nine million, four hundred ninety-five thousand, seven hundred twenty-eight".