78202754414040 has 256 divisors, whose sum is σ = 237367333872000. Its totient is φ = 20610276802560.

The previous prime is 78202754414039. The next prime is 78202754414089. The reversal of 78202754414040 is 4041445720287.

It is a super-2 number, since 2×78202754414040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7168640106 + ... + 7168651014.

Almost surely, 2^{78202754414040} 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 78202754414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118683666936000).

78202754414040 is an abundant number, since it is smaller than the sum of its proper divisors (159164579457960).

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

78202754414040 is a wasteful number, since it uses less digits than its factorization.

78202754414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950 (or 12946 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 48.

The spelling of 78202754414040 in words is "seventy-eight trillion, two hundred two billion, seven hundred fifty-four million, four hundred fourteen thousand, forty".