401201437728 has 192 divisors, whose sum is σ = 1296888848640. Its totient is φ = 105754263552.

The previous prime is 401201437727. The next prime is 401201437739. The reversal of 401201437728 is 827734102104.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (401201437727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17609128 + ... + 17631896.

It is an arithmetic number, because the mean of its divisors is an integer number (6754629420).

Almost surely, 2^401201437728 is an apocalyptic number.

401201437728 is a gapful number since it is divisible by the number (48) 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 401201437728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648444424320).

401201437728 is an abundant number, since it is smaller than the sum of its proper divisors (895687410912).

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

401201437728 is a wasteful number, since it uses less digits than its factorization.

401201437728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24819 (or 24811 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 401201437728 in words is "four hundred one billion, two hundred one million, four hundred thirty-seven thousand, seven hundred twenty-eight".