401544601358040 has 1536 divisors, whose sum is σ = 1643045845248000. Its totient is φ = 85424678535168.

The previous prime is 401544601357993. The next prime is 401544601358051. The reversal of 401544601358040 is 40853106445104.

401544601358040 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 4 + 4 + 60 + 1 + 3 + 580 + 4 + 0 = 666.

It is a super-2 number, since 2×401544601358040² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 176969854026 + ... + 176969856294.

It is an arithmetic number, because the mean of its divisors is an integer number (1069691305500).

Almost surely, 2^{401544601358040} is an apocalyptic number.

401544601358040 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 401544601358040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821522922624000).

401544601358040 is an abundant number, since it is smaller than the sum of its proper divisors (1241501243889960).

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

401544601358040 is a wasteful number, since it uses less digits than its factorization.

401544601358040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 401544601358040 in words is "four hundred one trillion, five hundred forty-four billion, six hundred one million, three hundred fifty-eight thousand, forty".