71451755303040 has 896 divisors, whose sum is σ = 308095752873600. Its totient is φ = 15472246358016.

The previous prime is 71451755303023. The next prime is 71451755303041. The reversal of 71451755303040 is 4030355715417.

71451755303040 is a `hidden beast` number, since 7 + 1 + 4 + 5 + 1 + 75 + 530 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (71451755303041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61476744 + ... + 62628216.

Almost surely, 2^{71451755303040} is an apocalyptic number.

71451755303040 is a gapful number since it is divisible by the number (70) 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 71451755303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154047876436800).

71451755303040 is an abundant number, since it is smaller than the sum of its proper divisors (236643997570560).

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

71451755303040 is a wasteful number, since it uses less digits than its factorization.

71451755303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151536 (or 1151509 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 71451755303040 in words is "seventy-one trillion, four hundred fifty-one billion, seven hundred fifty-five million, three hundred three thousand, forty".