4294064051200 has 528 divisors, whose sum is σ = 13698816933888. Its totient is φ = 1295216640000.

The previous prime is 4294064051131. The next prime is 4294064051201. The reversal of 4294064051200 is 21504604924.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4294064051200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4294064051201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61072065 + ... + 61142335.

Almost surely, 2^{4294064051200} is an apocalyptic number.

4294064051200 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 4294064051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849408466944).

4294064051200 is an abundant number, since it is smaller than the sum of its proper divisors (9404752882688).

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

4294064051200 is a wasteful number, since it uses less digits than its factorization.

4294064051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70350 (or 70327 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 4294064051200 in words is "four trillion, two hundred ninety-four billion, sixty-four million, fifty-one thousand, two hundred".