71418049920 has 1152 divisors, whose sum is σ = 311857378560. Its totient is φ = 15296200704.

The previous prime is 71418049873. The next prime is 71418049921. The reversal of 71418049920 is 2994081417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×71418049920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71418049921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314616847 + ... + 314617073.

It is an arithmetic number, because the mean of its divisors is an integer number (270709530).

Almost surely, 2^71418049920 is an apocalyptic number.

71418049920 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 71418049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155928689280).

71418049920 is an abundant number, since it is smaller than the sum of its proper divisors (240439328640).

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

71418049920 is a wasteful number, since it uses less digits than its factorization.

71418049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 71418049920 in words is "seventy-one billion, four hundred eighteen million, forty-nine thousand, nine hundred twenty".