45101629440 has 600 divisors, whose sum is σ = 184982035392. Its totient is φ = 10298327040.

The previous prime is 45101629403. The next prime is 45101629451. The reversal of 45101629440 is 4492610154.

45101629440 is a `hidden beast` number, since 4 + 51 + 0 + 162 + 9 + 440 = 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 = 45101629395 and 45101629404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46448155 + ... + 46449125.

Almost surely, 2^45101629440 is an apocalyptic number.

45101629440 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 45101629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92491017696).

45101629440 is an abundant number, since it is smaller than the sum of its proper divisors (139880405952).

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

45101629440 is an frugal number, since it uses more digits than its factorization.

45101629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 988 counting only the distinct ones).

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

It can be divided in two parts, 45101 and 629440, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 45101629440 in words is "forty-five billion, one hundred one million, six hundred twenty-nine thousand, four hundred forty".