21434130251040 has 192 divisors, whose sum is σ = 72753158451456. Its totient is φ = 5273046454272.

The previous prime is 21434130251033. The next prime is 21434130251113. The reversal of 21434130251040 is 4015203143412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21434130250989 and 21434130251007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9822877 + ... + 11804963.

It is an arithmetic number, because the mean of its divisors is an integer number (378922700268).

Almost surely, 2^{21434130251040} is an apocalyptic number.

21434130251040 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 21434130251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36376579225728).

21434130251040 is an abundant number, since it is smaller than the sum of its proper divisors (51319028200416).

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

21434130251040 is a wasteful number, since it uses less digits than its factorization.

21434130251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983851 (or 1983843 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 21434130251040 its reverse (4015203143412), we get a palindrome (25449333394452).

The spelling of 21434130251040 in words is "twenty-one trillion, four hundred thirty-four billion, one hundred thirty million, two hundred fifty-one thousand, forty".