16401294000 has 1920 divisors, whose sum is σ = 81114808320. Its totient is φ = 2985984000.

The previous prime is 16401293977. The next prime is 16401294113. The reversal of 16401294000 is 49210461.

16401294000 is a `hidden beast` number, since 1 + 640 + 12 + 9 + 4 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 529073985 + ... + 529074015.

It is an arithmetic number, because the mean of its divisors is an integer number (42247296).

Almost surely, 2^16401294000 is an apocalyptic number.

16401294000 is a gapful number since it is divisible by the number (10) 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 16401294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40557404160).

16401294000 is an abundant number, since it is smaller than the sum of its proper divisors (64713514320).

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

16401294000 is a wasteful number, since it uses less digits than its factorization.

16401294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 16401294000 in words is "sixteen billion, four hundred one million, two hundred ninety-four thousand".