78035438040 has 192 divisors, whose sum is σ = 273046671360. Its totient is φ = 17789587200.

The previous prime is 78035438027. The next prime is 78035438053. The reversal of 78035438040 is 4083453087.

It is an interprime number because it is at equal distance from previous prime (78035438027) and next prime (78035438053).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 78035437983 and 78035438001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2234715 + ... + 2269365.

It is an arithmetic number, because the mean of its divisors is an integer number (1422118080).

Almost surely, 2^78035438040 is an apocalyptic number.

78035438040 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 78035438040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136523335680).

78035438040 is an abundant number, since it is smaller than the sum of its proper divisors (195011233320).

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

78035438040 is a wasteful number, since it uses less digits than its factorization.

78035438040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35062 (or 35051 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 78035438040 in words is "seventy-eight billion, thirty-five million, four hundred thirty-eight thousand, forty".