42748531151040 has 5376 divisors, whose sum is σ = 199692178882560. Its totient is φ = 8545886208000.

The previous prime is 42748531150961. The next prime is 42748531151063. The reversal of 42748531151040 is 4015113584724.

42748531151040 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 8 + 531 + 1 + 5 + 104 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 399518982667 + ... + 399518982773.

It is an arithmetic number, because the mean of its divisors is an integer number (37145122560).

Almost surely, 2^{42748531151040} is an apocalyptic number.

42748531151040 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 42748531151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99846089441280).

42748531151040 is an abundant number, since it is smaller than the sum of its proper divisors (156943647731520).

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

42748531151040 is a wasteful number, since it uses less digits than its factorization.

42748531151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 42748531151040 in words is "forty-two trillion, seven hundred forty-eight billion, five hundred thirty-one million, one hundred fifty-one thousand, forty".