42546602039040 has 2304 divisors, whose sum is σ = 177261148108800. Its totient is φ = 9755209728000.

The previous prime is 42546602039023. The next prime is 42546602039057. The reversal of 42546602039040 is 4093020664524.

42546602039040 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 6 + 602 + 0 + 39 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42546602039023) and next prime (42546602039057).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70793014740 + ... + 70793015340.

It is an arithmetic number, because the mean of its divisors is an integer number (76936262200).

Almost surely, 2^{42546602039040} is an apocalyptic number.

42546602039040 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 42546602039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88630574054400).

42546602039040 is an abundant number, since it is smaller than the sum of its proper divisors (134714546069760).

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

42546602039040 is an frugal number, since it uses more digits than its factorization.

42546602039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 42546602039040 in words is "forty-two trillion, five hundred forty-six billion, six hundred two million, thirty-nine thousand, forty".