742408934400 has 924 divisors, whose sum is σ = 3153869757472. Its totient is φ = 169663610880.

The previous prime is 742408934353. The next prime is 742408934479. The reversal of 742408934400 is 4439804247.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130633959 + ... + 130639641.

Almost surely, 2^742408934400 is an apocalyptic number.

742408934400 is a gapful number since it is divisible by the number (70) 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 742408934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576934878736).

742408934400 is an abundant number, since it is smaller than the sum of its proper divisors (2411460823072).

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

742408934400 is an equidigital number, since it uses as much as digits as its factorization.

742408934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 742408934400 in words is "seven hundred forty-two billion, four hundred eight million, nine hundred thirty-four thousand, four hundred".