45140771520000 has 4800 divisors, whose sum is σ = 201016534118400. Its totient is φ = 9634775040000.

The previous prime is 45140771519989. The next prime is 45140771520001. The reversal of 45140771520000 is 2517704154.

45140771520000 is a `hidden beast` number, since 45 + 1 + 407 + 7 + 1 + 5 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×45140771520000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45140771520001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 507199679956 + ... + 507199680044.

It is an arithmetic number, because the mean of its divisors is an integer number (41878444608).

Almost surely, 2^{45140771520000} is an apocalyptic number.

45140771520000 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 45140771520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100508267059200).

45140771520000 is an abundant number, since it is smaller than the sum of its proper divisors (155875762598400).

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

45140771520000 is a wasteful number, since it uses less digits than its factorization.

45140771520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 45140771520000 in words is "forty-five trillion, one hundred forty billion, seven hundred seventy-one million, five hundred twenty thousand".