4250299046400 has 2880 divisors, whose sum is σ = 18310101828480. Its totient is φ = 963477504000.

The previous prime is 4250299046369. The next prime is 4250299046423. The reversal of 4250299046400 is 46409920524.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63437299167 + ... + 63437299233.

It is an arithmetic number, because the mean of its divisors is an integer number (6357674246).

Almost surely, 2^{4250299046400} is an apocalyptic number.

4250299046400 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 4250299046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155050914240).

4250299046400 is an abundant number, since it is smaller than the sum of its proper divisors (14059802782080).

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

4250299046400 is a wasteful number, since it uses less digits than its factorization.

4250299046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4250299046400 in words is "four trillion, two hundred fifty billion, two hundred ninety-nine million, forty-six thousand, four hundred".