42436941037920 has 1152 divisors, whose sum is σ = 178562459432448. Its totient is φ = 9381862195200.

The previous prime is 42436941037901. The next prime is 42436941037921. The reversal of 42436941037920 is 2973014963424.

42436941037920 is a `hidden beast` number, since 4 + 2 + 436 + 94 + 1 + 0 + 37 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42436941037921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 461420740 + ... + 461512700.

It is an arithmetic number, because the mean of its divisors is an integer number (155002134924).

Almost surely, 2^{42436941037920} is an apocalyptic number.

42436941037920 is a gapful number since it is divisible by the number (40) 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 42436941037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89281229716224).

42436941037920 is an abundant number, since it is smaller than the sum of its proper divisors (136125518394528).

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

42436941037920 is a wasteful number, since it uses less digits than its factorization.

42436941037920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92098 (or 92078 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 42436941037920 in words is "forty-two trillion, four hundred thirty-six billion, nine hundred forty-one million, thirty-seven thousand, nine hundred twenty".