4268681951040 has 896 divisors, whose sum is σ = 16867695398400. Its totient is φ = 1009421844480.

The previous prime is 4268681951021. The next prime is 4268681951099. The reversal of 4268681951040 is 401591868624.

4268681951040 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 6 + 81 + 9 + 510 + 40 = 666.

It is a super-3 number, since 3×4268681951040³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 294608116 + ... + 294622604.

It is an arithmetic number, because the mean of its divisors is an integer number (18825552900).

Almost surely, 2^{4268681951040} is an apocalyptic number.

4268681951040 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 4268681951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433847699200).

4268681951040 is an abundant number, since it is smaller than the sum of its proper divisors (12599013447360).

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

4268681951040 is a wasteful number, since it uses less digits than its factorization.

4268681951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14632 (or 14616 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4268681951040 in words is "four trillion, two hundred sixty-eight billion, six hundred eighty-one million, nine hundred fifty-one thousand, forty".