741753815040 has 1632 divisors, whose sum is σ = 3227492304000. Its totient is φ = 160922861568.

The previous prime is 741753815039. The next prime is 741753815087. The reversal of 741753815040 is 40518357147.

741753815040 is a `hidden beast` number, since 7 + 4 + 17 + 53 + 81 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12572098531 + ... + 12572098589.

Almost surely, 2^741753815040 is an apocalyptic number.

741753815040 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 741753815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613746152000).

741753815040 is an abundant number, since it is smaller than the sum of its proper divisors (2485738488960).

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

741753815040 is an equidigital number, since it uses as much as digits as its factorization.

741753815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 741753815040 in words is "seven hundred forty-one billion, seven hundred fifty-three million, eight hundred fifteen thousand, forty".