21749402949120 has 3840 divisors, whose sum is σ = 102239600246784. Its totient is φ = 4299816960000.

The previous prime is 21749402949103. The next prime is 21749402949133. The reversal of 21749402949120 is 2194920494712.

21749402949120 is a `hidden beast` number, since 2 + 1 + 7 + 49 + 402 + 94 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 144035781045 + ... + 144035781195.

Almost surely, 2^{21749402949120} is an apocalyptic number.

21749402949120 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 21749402949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51119800123392).

21749402949120 is an abundant number, since it is smaller than the sum of its proper divisors (80490197297664).

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

21749402949120 is a wasteful number, since it uses less digits than its factorization.

21749402949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 21749402949120 in words is "twenty-one trillion, seven hundred forty-nine billion, four hundred two million, nine hundred forty-nine thousand, one hundred twenty".