10001940480000 has 3040 divisors, whose sum is σ = 47170730534400. Its totient is φ = 2038431744000.

The previous prime is 10001940479911. The next prime is 10001940480013. The reversal of 10001940480000 is 8404910001.

It is a tau number, because it is divible by the number of its divisors (3040).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 526417919991 + ... + 526417920009.

Almost surely, 2^{10001940480000} is an apocalyptic number.

10001940480000 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 10001940480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23585365267200).

10001940480000 is an abundant number, since it is smaller than the sum of its proper divisors (37168790054400).

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

10001940480000 is an frugal number, since it uses more digits than its factorization.

10001940480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10001940480000 in words is "ten trillion, one billion, nine hundred forty million, four hundred eighty thousand".