401947003261440 has 3360 divisors, whose sum is σ = 1916713605446640. Its totient is φ = 79813775720448.

The previous prime is 401947003261439. The next prime is 401947003261471. The reversal of 401947003261440 is 44162300749104.

401947003261440 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 470 + 0 + 32 + 6 + 144 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 261642788741376 + 140304214520064 = 16175376^2 + 11845008^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×401947003261440² (a number of 30 digits) contains 22 as substring.

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 335 ways as a sum of consecutive naturals, for example, 20209503016 + ... + 20209522904.

Almost surely, 2^{401947003261440} is an apocalyptic number.

401947003261440 is a gapful number since it is divisible by the number (40) 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 401947003261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958356802723320).

401947003261440 is an abundant number, since it is smaller than the sum of its proper divisors (1514766602185200).

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

401947003261440 is a wasteful number, since it uses less digits than its factorization.

401947003261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19974 (or 19936 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 401947003261440 in words is "four hundred one trillion, nine hundred forty-seven billion, three million, two hundred sixty-one thousand, four hundred forty".