4268997949920 has 384 divisors, whose sum is σ = 14865788528640. Its totient is φ = 1021116794880.

The previous prime is 4268997949901. The next prime is 4268997949949. The reversal of 4268997949920 is 299497998624.

It is a super-3 number, since 3×4268997949920³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362418591 + ... + 362430369.

It is an arithmetic number, because the mean of its divisors is an integer number (38712990960).

Almost surely, 2^{4268997949920} is an apocalyptic number.

4268997949920 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 4268997949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432894264320).

4268997949920 is an abundant number, since it is smaller than the sum of its proper divisors (10596790578720).

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

4268997949920 is a wasteful number, since it uses less digits than its factorization.

4268997949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12718 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 78.

The spelling of 4268997949920 in words is "four trillion, two hundred sixty-eight billion, nine hundred ninety-seven million, nine hundred forty-nine thousand, nine hundred twenty".