4115742142400 has 252 divisors, whose sum is σ = 11956581535608. Its totient is φ = 1390048450560.

The previous prime is 4115742142363. The next prime is 4115742142411. The reversal of 4115742142400 is 42412475114.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4861034 + ... + 5644566.

Almost surely, 2^{4115742142400} is an apocalyptic number.

4115742142400 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 4115742142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978290767804).

4115742142400 is an abundant number, since it is smaller than the sum of its proper divisors (7840839393208).

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

4115742142400 is a wasteful number, since it uses less digits than its factorization.

4115742142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783636 (or 783614 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 4115742142400 in words is "four trillion, one hundred fifteen billion, seven hundred forty-two million, one hundred forty-two thousand, four hundred".