46292842440 has 256 divisors, whose sum is σ = 173405836800. Its totient is φ = 10899643392.

The previous prime is 46292842363. The next prime is 46292842447. The reversal of 46292842440 is 4424829264.

46292842440 is a `hidden beast` number, since 46 + 2 + 92 + 84 + 2 + 440 = 666.

46292842440 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 2×46292842440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46292842447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251242 + ... + 394598.

It is an arithmetic number, because the mean of its divisors is an integer number (677366550).

Almost surely, 2^46292842440 is an apocalyptic number.

46292842440 is a gapful number since it is divisible by the number (40) 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 46292842440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86702918400).

46292842440 is an abundant number, since it is smaller than the sum of its proper divisors (127112994360).

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

46292842440 is a wasteful number, since it uses less digits than its factorization.

46292842440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143413 (or 143403 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 46292842440 in words is "forty-six billion, two hundred ninety-two million, eight hundred forty-two thousand, four hundred forty".