4152416401400 has 96 divisors (see below), whose sum is σ = 9885178848240. Its totient is φ = 1621695989760.

The previous prime is 4152416401387. The next prime is 4152416401421. The reversal of 4152416401400 is 41046142514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143042 + ... + 2885358.

Almost surely, 2^{4152416401400} is an apocalyptic number.

4152416401400 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 4152416401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942589424120).

4152416401400 is an abundant number, since it is smaller than the sum of its proper divisors (5732762446840).

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

4152416401400 is a wasteful number, since it uses less digits than its factorization.

4152416401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742513 (or 2742504 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 4152416401400 in words is "four trillion, one hundred fifty-two billion, four hundred sixteen million, four hundred one thousand, four hundred".