742642007869440 has 3456 divisors, whose sum is σ = 3345737265561600. Its totient is φ = 154575553167360.

The previous prime is 742642007869393. The next prime is 742642007869519. The reversal of 742642007869440 is 44968700246247.

742642007869440 is a `hidden beast` number, since 7 + 4 + 2 + 6 + 420 + 0 + 7 + 86 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 156050009781 + ... + 156050014539.

It is an arithmetic number, because the mean of its divisors is an integer number (968095273600).

Almost surely, 2^{742642007869440} is an apocalyptic number.

742642007869440 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 742642007869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672868632780800).

742642007869440 is an abundant number, since it is smaller than the sum of its proper divisors (2603095257692160).

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

742642007869440 is a wasteful number, since it uses less digits than its factorization.

742642007869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 742642007869440 in words is "seven hundred forty-two trillion, six hundred forty-two billion, seven million, eight hundred sixty-nine thousand, four hundred forty".