45730278397440 has 7680 divisors, whose sum is σ = 234579345960960. Its totient is φ = 8255648563200.

The previous prime is 45730278397403. The next prime is 45730278397477. The reversal of 45730278397440 is 4479387203754.

45730278397440 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 0 + 27 + 83 + 97 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (45730278397403) and next prime (45730278397477).

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 749676695010 + ... + 749676695070.

It is an arithmetic number, because the mean of its divisors is an integer number (30544185672).

Almost surely, 2^{45730278397440} is an apocalyptic number.

45730278397440 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 45730278397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117289672980480).

45730278397440 is an abundant number, since it is smaller than the sum of its proper divisors (188849067563520).

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

45730278397440 is a wasteful number, since it uses less digits than its factorization.

45730278397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 45730278397440 in words is "forty-five trillion, seven hundred thirty billion, two hundred seventy-eight million, three hundred ninety-seven thousand, four hundred forty".