401541470000000 has 512 divisors, whose sum is σ = 1092302453698560. Its totient is φ = 145818400000000.

The previous prime is 401541469999981. The next prime is 401541470000131. The reversal of 401541470000000 is 74145104.

It is a super-2 number, since 2×401541470000000² (a number of 30 digits) contains 22 as substring.

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, 100209997997 + ... + 100210002003.

It is an arithmetic number, because the mean of its divisors is an integer number (2133403229880).

Almost surely, 2^{401541470000000} is an apocalyptic number.

401541470000000 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 401541470000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546151226849280).

401541470000000 is an abundant number, since it is smaller than the sum of its proper divisors (690760983698560).

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

401541470000000 is an frugal number, since it uses more digits than its factorization.

401541470000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The spelling of 401541470000000 in words is "four hundred one trillion, five hundred forty-one billion, four hundred seventy million", and thus it is an aban number.