21357175403440 has 40 divisors (see below), whose sum is σ = 50213359041120. Its totient is φ = 8446882853376.

The previous prime is 21357175403411. The next prime is 21357175403477. The reversal of 21357175403440 is 4430457175312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×21357175403440⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1499794524 + ... + 1499808763.

It is an arithmetic number, because the mean of its divisors is an integer number (1255333976028).

Almost surely, 2^{21357175403440} is an apocalyptic number.

21357175403440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21357175403440 is an abundant number, since it is smaller than the sum of its proper divisors (28856183637680).

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

21357175403440 is a wasteful number, since it uses less digits than its factorization.

21357175403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999603389 (or 2999603383 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 21357175403440 in words is "twenty-one trillion, three hundred fifty-seven billion, one hundred seventy-five million, four hundred three thousand, four hundred forty".