4213256355840 has 288 divisors, whose sum is σ = 15408471939840. Its totient is φ = 963026878464.

The previous prime is 4213256355799. The next prime is 4213256355857. The reversal of 4213256355840 is 485536523124.

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 4213256355840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13609491 + ... + 13915629.

It is an arithmetic number, because the mean of its divisors is an integer number (53501638680).

Almost surely, 2^{4213256355840} is an apocalyptic number.

4213256355840 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 4213256355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7704235969920).

4213256355840 is an abundant number, since it is smaller than the sum of its proper divisors (11195215584000).

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

4213256355840 is an frugal number, since it uses more digits than its factorization.

4213256355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306188 (or 306156 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 4213256355840 in words is "four trillion, two hundred thirteen billion, two hundred fifty-six million, three hundred fifty-five thousand, eight hundred forty".