4078941158400 has 528 divisors, whose sum is σ = 15025480450560. Its totient is φ = 969847603200.

The previous prime is 4078941158393. The next prime is 4078941158429. The reversal of 4078941158400 is 48511498704.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 24724185 + ... + 24888615.

Almost surely, 2^{4078941158400} is an apocalyptic number.

4078941158400 is a gapful number since it is divisible by the number (40) 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 4078941158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512740225280).

4078941158400 is an abundant number, since it is smaller than the sum of its proper divisors (10946539292160).

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

4078941158400 is a wasteful number, since it uses less digits than its factorization.

4078941158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164500 (or 164477 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 4078941158400 in words is "four trillion, seventy-eight billion, nine hundred forty-one million, one hundred fifty-eight thousand, four hundred".