40113401201100 has 216 divisors, whose sum is σ = 128516742402048. Its totient is φ = 10460480150400.

The previous prime is 40113401201099. The next prime is 40113401201113. The reversal of 40113401201100 is 110210431104.

40113401201100 is a `hidden beast` number, since 40 + 1 + 13 + 401 + 201 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49810645 + ... + 50609555.

It is an arithmetic number, because the mean of its divisors is an integer number (594984918528).

Almost surely, 2^{40113401201100} 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 40113401201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64258371201024).

40113401201100 is an abundant number, since it is smaller than the sum of its proper divisors (88403341200948).

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

40113401201100 is a wasteful number, since it uses less digits than its factorization.

40113401201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800165 (or 800155 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 40113401201100 its reverse (110210431104), we get a palindrome (40223611632204).

The spelling of 40113401201100 in words is "forty trillion, one hundred thirteen billion, four hundred one million, two hundred one thousand, one hundred".