741159415440 has 800 divisors, whose sum is σ = 2715273639936. Its totient is φ = 187141570560.

The previous prime is 741159415439. The next prime is 741159415457. The reversal of 741159415440 is 44514951147.

741159415440 is a `hidden beast` number, since 7 + 4 + 1 + 1 + 594 + 1 + 54 + 4 + 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 159 ways as a sum of consecutive naturals, for example, 2338042162 + ... + 2338042478.

Almost surely, 2^741159415440 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 741159415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357636819968).

741159415440 is an abundant number, since it is smaller than the sum of its proper divisors (1974114224496).

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

741159415440 is a wasteful number, since it uses less digits than its factorization.

741159415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 741159415440 in words is "seven hundred forty-one billion, one hundred fifty-nine million, four hundred fifteen thousand, four hundred forty".