5742642431240 has 256 divisors, whose sum is σ = 15743890391040. Its totient is φ = 1856566656000.

The previous prime is 5742642431233. The next prime is 5742642431297. The reversal of 5742642431240 is 421342462475.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5742642431191 and 5742642431200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37337777 + ... + 37491263.

It is an arithmetic number, because the mean of its divisors is an integer number (61499571840).

Almost surely, 2^{5742642431240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742642431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871945195520).

5742642431240 is an abundant number, since it is smaller than the sum of its proper divisors (10001247959800).

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

5742642431240 is a wasteful number, since it uses less digits than its factorization.

5742642431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153764 (or 153760 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 44.

The spelling of 5742642431240 in words is "five trillion, seven hundred forty-two billion, six hundred forty-two million, four hundred thirty-one thousand, two hundred forty".