1401106083520 has 672 divisors, whose sum is σ = 4164931431360. Its totient is φ = 445270425600.

The previous prime is 1401106083479. The next prime is 1401106083557. The reversal of 1401106083520 is 253806011041.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773663415 + ... + 773665225.

It is an arithmetic number, because the mean of its divisors is an integer number (6197814630).

Almost surely, 2^{1401106083520} is an apocalyptic number.

1401106083520 is a gapful number since it is divisible by the number (10) 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 1401106083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082465715680).

1401106083520 is an abundant number, since it is smaller than the sum of its proper divisors (2763825347840).

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

1401106083520 is a wasteful number, since it uses less digits than its factorization.

1401106083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 1401106083520 in words is "one trillion, four hundred one billion, one hundred six million, eighty-three thousand, five hundred twenty".