742831997400 has 288 divisors, whose sum is σ = 2595551999040. Its totient is φ = 197439327360.

The previous prime is 742831997381. The next prime is 742831997437. The reversal of 742831997400 is 4799138247.

742831997400 is a `hidden beast` number, since 7 + 42 + 8 + 3 + 199 + 7 + 400 = 666.

742831997400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×742831997400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14895307 + ... + 14945093.

It is an arithmetic number, because the mean of its divisors is an integer number (9012333330).

Almost surely, 2^742831997400 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 742831997400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297775999520).

742831997400 is an abundant number, since it is smaller than the sum of its proper divisors (1852720001640).

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

742831997400 is a wasteful number, since it uses less digits than its factorization.

742831997400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50125 (or 50104 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 742831997400 in words is "seven hundred forty-two billion, eight hundred thirty-one million, nine hundred ninety-seven thousand, four hundred".