71262631440 has 1280 divisors, whose sum is σ = 344137973760. Its totient is φ = 13065338880.

The previous prime is 71262631439. The next prime is 71262631459. The reversal of 71262631440 is 4413626217.

71262631440 is a `hidden beast` number, since 7 + 12 + 6 + 2 + 631 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 71262631395 and 71262631404.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49728964 + ... + 49730396.

It is an arithmetic number, because the mean of its divisors is an integer number (268857792).

Almost surely, 2^71262631440 is an apocalyptic number.

71262631440 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 71262631440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172068986880).

71262631440 is an abundant number, since it is smaller than the sum of its proper divisors (272875342320).

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

71262631440 is a wasteful number, since it uses less digits than its factorization.

71262631440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 71262631440 in words is "seventy-one billion, two hundred sixty-two million, six hundred thirty-one thousand, four hundred forty".