45436270140 has 192 divisors, whose sum is σ = 143802624000. Its totient is φ = 11908166400.

The previous prime is 45436270133. The next prime is 45436270147. The reversal of 45436270140 is 4107263454.

45436270140 is a `hidden beast` number, since 4 + 543 + 6 + 2 + 70 + 1 + 40 = 666.

45436270140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45436270133) and next prime (45436270147).

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 = 45436270095 and 45436270104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45436270147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9766815 + ... + 9771465.

It is an arithmetic number, because the mean of its divisors is an integer number (748972000).

Almost surely, 2^45436270140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45436270140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71901312000).

45436270140 is an abundant number, since it is smaller than the sum of its proper divisors (98366353860).

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

45436270140 is a wasteful number, since it uses less digits than its factorization.

45436270140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 45436270140 in words is "forty-five billion, four hundred thirty-six million, two hundred seventy thousand, one hundred forty".