45467029440 has 504 divisors, whose sum is σ = 185383261440. Its totient is φ = 10194702336.

The previous prime is 45467029423. The next prime is 45467029481. The reversal of 45467029440 is 4492076454.

45467029440 is a `hidden beast` number, since 454 + 6 + 70 + 2 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7476321 + ... + 7482399.

Almost surely, 2^45467029440 is an apocalyptic number.

45467029440 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 45467029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92691630720).

45467029440 is an abundant number, since it is smaller than the sum of its proper divisors (139916232000).

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

45467029440 is a wasteful number, since it uses less digits than its factorization.

45467029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6169 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45467029440 in words is "forty-five billion, four hundred sixty-seven million, twenty-nine thousand, four hundred forty".