45379069655040 has 3840 divisors, whose sum is σ = 195299298754560. Its totient is φ = 9965277020160.

The previous prime is 45379069655021. The next prime is 45379069655081. The reversal of 45379069655040 is 4055696097354.

45379069655040 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 9 + 0 + 69 + 65 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 424103454667 + ... + 424103454773.

It is an arithmetic number, because the mean of its divisors is an integer number (50859192384).

Almost surely, 2^{45379069655040} is an apocalyptic number.

45379069655040 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 45379069655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97649649377280).

45379069655040 is an abundant number, since it is smaller than the sum of its proper divisors (149920229099520).

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

45379069655040 is a wasteful number, since it uses less digits than its factorization.

45379069655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 45379069655040 in words is "forty-five trillion, three hundred seventy-nine billion, sixty-nine million, six hundred fifty-five thousand, forty".