4002407411200 has 360 divisors, whose sum is σ = 10913784379344. Its totient is φ = 1453542604800.

The previous prime is 4002407411143. The next prime is 4002407411201. The reversal of 4002407411200 is 21147042004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002407411201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1894181344 + ... + 1894183456.

Almost surely, 2^{4002407411200} is an apocalyptic number.

4002407411200 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 4002407411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456892189672).

4002407411200 is an abundant number, since it is smaller than the sum of its proper divisors (6911376968144).

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

4002407411200 is a wasteful number, since it uses less digits than its factorization.

4002407411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The spelling of 4002407411200 in words is "four trillion, two billion, four hundred seven million, four hundred eleven thousand, two hundred".