6401968151040 has 3200 divisors, whose sum is σ = 30801171456000. Its totient is φ = 1230703165440.

The previous prime is 6401968151003. The next prime is 6401968151053. The reversal of 6401968151040 is 401518691046.

6401968151040 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 96 + 8 + 1 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14258280736 + ... + 14258281184.

It is an arithmetic number, because the mean of its divisors is an integer number (9625366080).

Almost surely, 2^{6401968151040} is an apocalyptic number.

6401968151040 is a gapful number since it is divisible by the number (60) 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 6401968151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400585728000).

6401968151040 is an abundant number, since it is smaller than the sum of its proper divisors (24399203304960).

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

6401968151040 is a wasteful number, since it uses less digits than its factorization.

6401968151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 6401968151040 in words is "six trillion, four hundred one billion, nine hundred sixty-eight million, one hundred fifty-one thousand, forty".