740881814400 has 3072 divisors, whose sum is σ = 3702363033600. Its totient is φ = 140142182400.

The previous prime is 740881814399. The next prime is 740881814429. The reversal of 740881814400 is 4418188047.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3074198280 + ... + 3074198520.

It is an arithmetic number, because the mean of its divisors is an integer number (1205196300).

Almost surely, 2^740881814400 is an apocalyptic number.

740881814400 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 740881814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851181516800).

740881814400 is an abundant number, since it is smaller than the sum of its proper divisors (2961481219200).

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

740881814400 is a wasteful number, since it uses less digits than its factorization.

740881814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 740881814400 in words is "seven hundred forty billion, eight hundred eighty-one million, eight hundred fourteen thousand, four hundred".