2401961472000 has 832 divisors, whose sum is σ = 8930260684800. Its totient is φ = 636965683200.

The previous prime is 2401961471989. The next prime is 2401961472121. The reversal of 2401961472000 is 2741691042.

It is a happy number.

2401961472000 is a `hidden beast` number, since 2 + 4 + 0 + 19 + 614 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3303935637 + ... + 3303936363.

It is an arithmetic number, because the mean of its divisors is an integer number (10733486400).

Almost surely, 2^{2401961472000} is an apocalyptic number.

2401961472000 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 2401961472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465130342400).

2401961472000 is an abundant number, since it is smaller than the sum of its proper divisors (6528299212800).

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

2401961472000 is an equidigital number, since it uses as much as digits as its factorization.

2401961472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2401961472000 in words is "two trillion, four hundred one billion, nine hundred sixty-one million, four hundred seventy-two thousand".