4260678542400 has 336 divisors, whose sum is σ = 15980475755520. Its totient is φ = 973567027200.

The previous prime is 4260678542357. The next prime is 4260678542411. The reversal of 4260678542400 is 42458760624.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4260678542400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118892485 + ... + 118928315.

Almost surely, 2^{4260678542400} is an apocalyptic number.

4260678542400 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 4260678542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990237877760).

4260678542400 is an abundant number, since it is smaller than the sum of its proper divisors (11719797213120).

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

4260678542400 is a wasteful number, since it uses less digits than its factorization.

4260678542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39402 (or 39387 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 4260678542400 in words is "four trillion, two hundred sixty billion, six hundred seventy-eight million, five hundred forty-two thousand, four hundred".