742220133408 has 72 divisors (see below), whose sum is σ = 2273049170028. Its totient is φ = 228375424512.

The previous prime is 742220133407. The next prime is 742220133437. The reversal of 742220133408 is 804331022247.

It is a happy number.

742220133408 is a `hidden beast` number, since 7 + 42 + 2 + 201 + 3 + 3 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 742168466064 + 51667344 = 861492^2 + 7188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×742220133408³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (742220133407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99117535 + ... + 99125022.

Almost surely, 2^742220133408 is an apocalyptic number.

742220133408 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

742220133408 is an abundant number, since it is smaller than the sum of its proper divisors (1530829036620).

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

742220133408 is a wasteful number, since it uses less digits than its factorization.

742220133408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198242586 (or 198242575 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 742220133408 in words is "seven hundred forty-two billion, two hundred twenty million, one hundred thirty-three thousand, four hundred eight".