401203111782000 has 640 divisors, whose sum is σ = 1516371669715968. Its totient is φ = 90173816832000.

The previous prime is 401203111781947. The next prime is 401203111782007. The reversal of 401203111782000 is 287111302104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401203111782007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72505504 + ... + 77842496.

Almost surely, 2^{401203111782000} is an apocalyptic number.

401203111782000 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 401203111782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758185834857984).

401203111782000 is an abundant number, since it is smaller than the sum of its proper divisors (1115168557933968).

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

401203111782000 is a wasteful number, since it uses less digits than its factorization.

401203111782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337114 (or 5337098 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 401203111782000 in words is "four hundred one trillion, two hundred three billion, one hundred eleven million, seven hundred eighty-two thousand".