40416307600100 has 72 divisors (see below), whose sum is σ = 89601401059968. Its totient is φ = 15816904444800.

The previous prime is 40416307600057. The next prime is 40416307600121. The reversal of 40416307600100 is 100670361404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11640170 + ... + 14708030.

Almost surely, 2^{40416307600100} 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 40416307600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44800700529984).

40416307600100 is an abundant number, since it is smaller than the sum of its proper divisors (49185093459868).

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

40416307600100 is a wasteful number, since it uses less digits than its factorization.

40416307600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070725 (or 3070718 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 40416307600100 its reverse (100670361404), we get a palindrome (40516977961504).

The spelling of 40416307600100 in words is "forty trillion, four hundred sixteen billion, three hundred seven million, six hundred thousand, one hundred".