26920401123840 has 640 divisors, whose sum is σ = 98894670336000. Its totient is φ = 6119611170816.

The previous prime is 26920401123727. The next prime is 26920401123877. The reversal of 26920401123840 is 4832110402962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26920401123792 and 26920401123801.

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, 8086631296 + ... + 8086634624.

It is an arithmetic number, because the mean of its divisors is an integer number (154522922400).

Almost surely, 2^{26920401123840} is an apocalyptic number.

26920401123840 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 26920401123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49447335168000).

26920401123840 is an abundant number, since it is smaller than the sum of its proper divisors (71974269212160).

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

26920401123840 is a wasteful number, since it uses less digits than its factorization.

26920401123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 26920401123840 in words is "twenty-six trillion, nine hundred twenty billion, four hundred one million, one hundred twenty-three thousand, eight hundred forty".