46072216440 has 96 divisors (see below), whose sum is σ = 150029474400. Its totient is φ = 12261738240.

The previous prime is 46072216403. The next prime is 46072216441. The reversal of 46072216440 is 4461227064.

46072216440 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 2 + 2 + 1 + 644 + 0 = 666.

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 = 46072216395 and 46072216404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46072216441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57525 + ... + 308955.

It is an arithmetic number, because the mean of its divisors is an integer number (1562807025).

Almost surely, 2^46072216440 is an apocalyptic number.

46072216440 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 46072216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75014737200).

46072216440 is an abundant number, since it is smaller than the sum of its proper divisors (103957257960).

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

46072216440 is a wasteful number, since it uses less digits than its factorization.

46072216440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251957 (or 251950 counting only the distinct ones).

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

The spelling of 46072216440 in words is "forty-six billion, seventy-two million, two hundred sixteen thousand, four hundred forty".