40899042128112 has 320 divisors, whose sum is σ = 131727667175424. Its totient is φ = 10666611671040.

The previous prime is 40899042128107. The next prime is 40899042128117. The reversal of 40899042128112 is 21182124099804.

It is an interprime number because it is at equal distance from previous prime (40899042128107) and next prime (40899042128117).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40899042128117) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 65841537 + ... + 66459807.

Almost surely, 2^{40899042128112} is an apocalyptic number.

40899042128112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40899042128112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65863833587712).

40899042128112 is an abundant number, since it is smaller than the sum of its proper divisors (90828625047312).

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

40899042128112 is a wasteful number, since it uses less digits than its factorization.

40899042128112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618656 (or 618650 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 40899042128112 in words is "forty trillion, eight hundred ninety-nine billion, forty-two million, one hundred twenty-eight thousand, one hundred twelve".