42092514240 has 896 divisors, whose sum is σ = 166994116608. Its totient is φ = 8778792960.

The previous prime is 42092514221. The next prime is 42092514251. The reversal of 42092514240 is 4241529024.

It is a happy number.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 331437057 + ... + 331437183.

Almost surely, 2^42092514240 is an apocalyptic number.

42092514240 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 42092514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83497058304).

42092514240 is an abundant number, since it is smaller than the sum of its proper divisors (124901602368).

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

42092514240 is a wasteful number, since it uses less digits than its factorization.

42092514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 42092514240 in words is "forty-two billion, ninety-two million, five hundred fourteen thousand, two hundred forty".