742541670237400 has 384 divisors, whose sum is σ = 2003855861088000. Its totient is φ = 253290578688000.

The previous prime is 742541670237397. The next prime is 742541670237421. The reversal of 742541670237400 is 4732076145247.

It is a congruent number.

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, 1630946991 + ... + 1631402209.

It is an arithmetic number, because the mean of its divisors is an integer number (5218374638250).

Almost surely, 2^{742541670237400} 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 742541670237400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001927930544000).

742541670237400 is an abundant number, since it is smaller than the sum of its proper divisors (1261314190850600).

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

742541670237400 is a wasteful number, since it uses less digits than its factorization.

742541670237400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456003 (or 455994 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 52.

The spelling of 742541670237400 in words is "seven hundred forty-two trillion, five hundred forty-one billion, six hundred seventy million, two hundred thirty-seven thousand, four hundred".