4264377062400 has 2904 divisors, whose sum is σ = 20144147469824. Its totient is φ = 870712934400.

The previous prime is 4264377062383. The next prime is 4264377062501. The reversal of 4264377062400 is 42607734624.

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 263 ways as a sum of consecutive naturals, for example, 137560550385 + ... + 137560550415.

Almost surely, 2^{4264377062400} is an apocalyptic number.

4264377062400 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 4264377062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072073734912).

4264377062400 is an abundant number, since it is smaller than the sum of its proper divisors (15879770407424).

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

4264377062400 is an equidigital number, since it uses as much as digits as its factorization.

4264377062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 4264377062400 in words is "four trillion, two hundred sixty-four billion, three hundred seventy-seven million, sixty-two thousand, four hundred".