2129964166440 has 768 divisors, whose sum is σ = 8008906752000. Its totient is φ = 502907328000.

The previous prime is 2129964166391. The next prime is 2129964166457. The reversal of 2129964166440 is 446614699212.

2129964166440 is a `hidden beast` number, since 2 + 12 + 9 + 96 + 41 + 66 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1467927715 + ... + 1467929165.

It is an arithmetic number, because the mean of its divisors is an integer number (10428264000).

Almost surely, 2^{2129964166440} is an apocalyptic number.

2129964166440 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 2129964166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004453376000).

2129964166440 is an abundant number, since it is smaller than the sum of its proper divisors (5878942585560).

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

2129964166440 is a wasteful number, since it uses less digits than its factorization.

2129964166440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 2129964166440 in words is "two trillion, one hundred twenty-nine billion, nine hundred sixty-four million, one hundred sixty-six thousand, four hundred forty".