40100442135300 has 216 divisors, whose sum is σ = 127883277238080. Its totient is φ = 10507434566400.

The previous prime is 40100442135209. The next prime is 40100442135469. The reversal of 40100442135300 is 353124400104.

It is a happy number.

40100442135300 is a `hidden beast` number, since 4 + 0 + 100 + 4 + 4 + 21 + 3 + 530 + 0 = 666.

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, 53595171 + ... + 54338229.

Almost surely, 2^{40100442135300} 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 40100442135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63941638619040).

40100442135300 is an abundant number, since it is smaller than the sum of its proper divisors (87782835102780).

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

40100442135300 is a wasteful number, since it uses less digits than its factorization.

40100442135300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744123 (or 744113 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40100442135300 its reverse (353124400104), we get a palindrome (40453566535404).

The spelling of 40100442135300 in words is "forty trillion, one hundred billion, four hundred forty-two million, one hundred thirty-five thousand, three hundred".