401543167680 has 504 divisors, whose sum is σ = 1424228017680. Its totient is φ = 103807549440.

The previous prime is 401543167667. The next prime is 401543167693. The reversal of 401543167680 is 86761345104.

401543167680 is a `hidden beast` number, since 40 + 1 + 543 + 1 + 6 + 7 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (401543167667) and next prime (401543167693).

It is a super-2 number, since 2×401543167680² (a number of 24 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 71 ways as a sum of consecutive naturals, for example, 2243257831 + ... + 2243258009.

Almost surely, 2^401543167680 is an apocalyptic number.

401543167680 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 401543167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712114008840).

401543167680 is an abundant number, since it is smaller than the sum of its proper divisors (1022684850000).

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

401543167680 is a wasteful number, since it uses less digits than its factorization.

401543167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 401543167680 in words is "four hundred one billion, five hundred forty-three million, one hundred sixty-seven thousand, six hundred eighty".