46914215040 has 1920 divisors, whose sum is σ = 224892961920. Its totient is φ = 9196830720.

The previous prime is 46914215039. The next prime is 46914215069. The reversal of 46914215040 is 4051241964.

46914215040 is a `hidden beast` number, since 4 + 6 + 9 + 142 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 46914214986 and 46914215004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 642660444 + ... + 642660516.

It is an arithmetic number, because the mean of its divisors is an integer number (117131751).

Almost surely, 2^46914215040 is an apocalyptic number.

46914215040 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 46914215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112446480960).

46914215040 is an abundant number, since it is smaller than the sum of its proper divisors (177978746880).

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

46914215040 is a wasteful number, since it uses less digits than its factorization.

46914215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 46914215040 in words is "forty-six billion, nine hundred fourteen million, two hundred fifteen thousand, forty".