40525614551100 has 288 divisors, whose sum is σ = 136423043366400. Its totient is φ = 9096169881600.

The previous prime is 40525614551087. The next prime is 40525614551117. The reversal of 40525614551100 is 115541652504.

40525614551100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40525614551100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114927060 + ... + 115279140.

It is an arithmetic number, because the mean of its divisors is an integer number (473691122800).

Almost surely, 2^{40525614551100} 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 40525614551100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68211521683200).

40525614551100 is an abundant number, since it is smaller than the sum of its proper divisors (95897428815300).

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

40525614551100 is a wasteful number, since it uses less digits than its factorization.

40525614551100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353093 (or 353086 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 40525614551100 in words is "forty trillion, five hundred twenty-five billion, six hundred fourteen million, five hundred fifty-one thousand, one hundred".