740609542400 has 1728 divisors, whose sum is σ = 2616152555520. Its totient is φ = 200658124800.

The previous prime is 740609542399. The next prime is 740609542423. The reversal of 740609542400 is 4245906047.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5831571137 + ... + 5831571263.

Almost surely, 2^740609542400 is an apocalyptic number.

740609542400 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 740609542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308076277760).

740609542400 is an abundant number, since it is smaller than the sum of its proper divisors (1875543013120).

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

740609542400 is a wasteful number, since it uses less digits than its factorization.

740609542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 740609542400 in words is "seven hundred forty billion, six hundred nine million, five hundred forty-two thousand, four hundred".