21734179040 has 384 divisors, whose sum is σ = 66380912640. Its totient is φ = 6545276928.

The previous prime is 21734179013. The next prime is 21734179069. The reversal of 21734179040 is 4097143712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 21734178985 and 21734179003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26408069 + ... + 26408891.

It is an arithmetic number, because the mean of its divisors is an integer number (172866960).

Almost surely, 2^21734179040 is an apocalyptic number.

21734179040 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 21734179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33190456320).

21734179040 is an abundant number, since it is smaller than the sum of its proper divisors (44646733600).

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

21734179040 is a wasteful number, since it uses less digits than its factorization.

21734179040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 21734179040 in words is "twenty-one billion, seven hundred thirty-four million, one hundred seventy-nine thousand, forty".