742024004040 has 512 divisors, whose sum is σ = 2795300928000. Its totient is φ = 173515161600.

The previous prime is 742024004027. The next prime is 742024004101. The reversal of 742024004040 is 40400420247.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 742024003995 and 742024004013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43341562 + ... + 43358678.

It is an arithmetic number, because the mean of its divisors is an integer number (5459572125).

Almost surely, 2^742024004040 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 742024004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397650464000).

742024004040 is an abundant number, since it is smaller than the sum of its proper divisors (2053276923960).

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

742024004040 is a wasteful number, since it uses less digits than its factorization.

742024004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17278 (or 17268 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

Adding to 742024004040 its reverse (40400420247), we get a palindrome (782424424287).

The spelling of 742024004040 in words is "seven hundred forty-two billion, twenty-four million, four thousand, forty".