16140978786240 has 2240 divisors, whose sum is σ = 75624027291648. Its totient is φ = 3169771315200.

The previous prime is 16140978786181. The next prime is 16140978786269. The reversal of 16140978786240 is 4268787904161.

16140978786240 is a `hidden beast` number, since 1 + 61 + 409 + 7 + 8 + 78 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×16140978786240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2660451687 + ... + 2660457753.

Almost surely, 2^{16140978786240} is an apocalyptic number.

16140978786240 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 16140978786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37812013645824).

16140978786240 is an abundant number, since it is smaller than the sum of its proper divisors (59483048505408).

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

16140978786240 is a wasteful number, since it uses less digits than its factorization.

16140978786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 16140978786240 in words is "sixteen trillion, one hundred forty billion, nine hundred seventy-eight million, seven hundred eighty-six thousand, two hundred forty".