46265527440 has 480 divisors, whose sum is σ = 181818898560. Its totient is φ = 10423296000.

The previous prime is 46265527423. The next prime is 46265527453. The reversal of 46265527440 is 4472556264.

46265527440 is a `hidden beast` number, since 4 + 6 + 26 + 552 + 74 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7972540 + ... + 7978340.

It is an arithmetic number, because the mean of its divisors is an integer number (378789372).

Almost surely, 2^46265527440 is an apocalyptic number.

46265527440 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 46265527440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90909449280).

46265527440 is an abundant number, since it is smaller than the sum of its proper divisors (135553371120).

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

46265527440 is a wasteful number, since it uses less digits than its factorization.

46265527440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 46265527440 in words is "forty-six billion, two hundred sixty-five million, five hundred twenty-seven thousand, four hundred forty".