40642007100 has 144 divisors (see below), whose sum is σ = 124648459488. Its totient is φ = 10188840960.

The previous prime is 40642007093. The next prime is 40642007111. The reversal of 40642007100 is 170024604.

It is a super-2 number, since 2×40642007100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5080704 + ... + 5088696.

It is an arithmetic number, because the mean of its divisors is an integer number (865614302).

Almost surely, 2^40642007100 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 40642007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62324229744).

40642007100 is an abundant number, since it is smaller than the sum of its proper divisors (84006452388).

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

40642007100 is a wasteful number, since it uses less digits than its factorization.

40642007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 40642007100 in words is "forty billion, six hundred forty-two million, seven thousand, one hundred".