46042641120 has 192 divisors, whose sum is σ = 171469509120. Its totient is φ = 10161113088.

The previous prime is 46042641109. The next prime is 46042641121. The reversal of 46042641120 is 2114624064.

It is a happy number.

46042641120 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 2×46042641120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46042641121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138822 + ... + 333701.

It is an arithmetic number, because the mean of its divisors is an integer number (893070360).

Almost surely, 2^46042641120 is an apocalyptic number.

46042641120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46042641120 is an abundant number, since it is smaller than the sum of its proper divisors (125426868000).

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

46042641120 is a wasteful number, since it uses less digits than its factorization.

46042641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472577 (or 472569 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 46042641120 in words is "forty-six billion, forty-two million, six hundred forty-one thousand, one hundred twenty".