401761600000 has 240 divisors, whose sum is σ = 1007958127176. Its totient is φ = 159969280000.

The previous prime is 401761599979. The next prime is 401761600001. The reversal of 401761600000 is 6167104.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 18491648256 + 383269951744 = 135984^2 + 619088^2 .

It is a super-2 number, since 2×401761600000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (401761600001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468799572 + ... + 468800428.

Almost surely, 2^401761600000 is an apocalyptic number.

401761600000 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 401761600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503979063588).

401761600000 is an abundant number, since it is smaller than the sum of its proper divisors (606196527176).

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

401761600000 is an frugal number, since it uses more digits than its factorization.

401761600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 401761600000 its reverse (6167104), we get a palindrome (401767767104).

The spelling of 401761600000 in words is "four hundred one billion, seven hundred sixty-one million, six hundred thousand".