40142634461100 has 144 divisors (see below), whose sum is σ = 129121942333440. Its totient is φ = 10698829185600.

The previous prime is 40142634461099. The next prime is 40142634461119. The reversal of 40142634461100 is 116443624104.

40142634461100 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 2 + 6 + 34 + 4 + 611 + 0 + 0 = 666.

It is a super-2 number, since 2×40142634461100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844305 + ... + 8999895.

Almost surely, 2^{40142634461100} 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 40142634461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64560971166720).

40142634461100 is an abundant number, since it is smaller than the sum of its proper divisors (88979307872340).

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

40142634461100 is a wasteful number, since it uses less digits than its factorization.

40142634461100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157437 (or 8157424 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40142634461100 in words is "forty trillion, one hundred forty-two billion, six hundred thirty-four million, four hundred sixty-one thousand, one hundred".