4688267351040 has 2816 divisors, whose sum is σ = 21440622551040. Its totient is φ = 957139255296.

The previous prime is 4688267351003. The next prime is 4688267351057. The reversal of 4688267351040 is 401537628864.

It is a happy number.

4688267351040 is a `hidden beast` number, since 4 + 6 + 8 + 82 + 6 + 7 + 3 + 510 + 40 = 666.

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 255 ways as a sum of consecutive naturals, for example, 43815582667 + ... + 43815582773.

It is an arithmetic number, because the mean of its divisors is an integer number (7613857440).

Almost surely, 2^{4688267351040} is an apocalyptic number.

4688267351040 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 4688267351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720311275520).

4688267351040 is an abundant number, since it is smaller than the sum of its proper divisors (16752355200000).

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

4688267351040 is a wasteful number, since it uses less digits than its factorization.

4688267351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4688267351040 in words is "four trillion, six hundred eighty-eight billion, two hundred sixty-seven million, three hundred fifty-one thousand, forty".