46425277440 has 352 divisors, whose sum is σ = 169031761920. Its totient is φ = 12076646400.

The previous prime is 46425277427. The next prime is 46425277541. The reversal of 46425277440 is 4477252464.

46425277440 is a `hidden beast` number, since 46 + 42 + 527 + 7 + 4 + 40 = 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5663745 + ... + 5671935.

Almost surely, 2^46425277440 is an apocalyptic number.

46425277440 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 46425277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84515880960).

46425277440 is an abundant number, since it is smaller than the sum of its proper divisors (122606484480).

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

46425277440 is a wasteful number, since it uses less digits than its factorization.

46425277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 46425277440 in words is "forty-six billion, four hundred twenty-five million, two hundred seventy-seven thousand, four hundred forty".