71420453104 has 640 divisors, whose sum is σ = 206706769920. Its totient is φ = 22992076800.

The previous prime is 71420453059. The next prime is 71420453113. The reversal of 71420453104 is 40135402417.

It is a super-2 number, since 2×71420453104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 632039352 + ... + 632039464.

It is an arithmetic number, because the mean of its divisors is an integer number (322979328).

Almost surely, 2^71420453104 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 71420453104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103353384960).

71420453104 is an abundant number, since it is smaller than the sum of its proper divisors (135286316816).

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

71420453104 is a wasteful number, since it uses less digits than its factorization.

71420453104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 71420453104 in words is "seventy-one billion, four hundred twenty million, four hundred fifty-three thousand, one hundred four".