213902768701440 has 1920 divisors, whose sum is σ = 960731421138720. Its totient is φ = 45129349988352.

The previous prime is 213902768701361. The next prime is 213902768701513. The reversal of 213902768701440 is 44107867209312.

213902768701440 is a `hidden beast` number, since 2 + 13 + 90 + 27 + 6 + 87 + 0 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8453639829 + ... + 8453665131.

Almost surely, 2^{213902768701440} is an apocalyptic number.

213902768701440 is a gapful number since it is divisible by the number (20) 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 213902768701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480365710569360).

213902768701440 is an abundant number, since it is smaller than the sum of its proper divisors (746828652437280).

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

213902768701440 is an equidigital number, since it uses as much as digits as its factorization.

213902768701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25377 (or 25333 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 213902768701440 in words is "two hundred thirteen trillion, nine hundred two billion, seven hundred sixty-eight million, seven hundred one thousand, four hundred forty".