4002349747200 has 2112 divisors, whose sum is σ = 16505951551488. Its totient is φ = 835662643200.

The previous prime is 4002349747079. The next prime is 4002349747211. The reversal of 4002349747200 is 27479432004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41261337552 + ... + 41261337648.

Almost surely, 2^{4002349747200} is an apocalyptic number.

4002349747200 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 4002349747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252975775744).

4002349747200 is an abundant number, since it is smaller than the sum of its proper divisors (12503601804288).

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

4002349747200 is a wasteful number, since it uses less digits than its factorization.

4002349747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 4002349747200 in words is "four trillion, two billion, three hundred forty-nine million, seven hundred forty-seven thousand, two hundred".