311400414099040 has 192 divisors, whose sum is σ = 869917341202560. Its totient is φ = 103067235532800.

The previous prime is 311400414099037. The next prime is 311400414099041. The reversal of 311400414099040 is 40990414004113.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 311400414098984 and 311400414099002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311400414099041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196461690 + ... + 198040390.

It is an arithmetic number, because the mean of its divisors is an integer number (4530819485430).

Almost surely, 2^{311400414099040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311400414099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434958670601280).

311400414099040 is an abundant number, since it is smaller than the sum of its proper divisors (558516927103520).

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

311400414099040 is a wasteful number, since it uses less digits than its factorization.

311400414099040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584825 (or 1584817 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 311400414099040 in words is "three hundred eleven trillion, four hundred billion, four hundred fourteen million, ninety-nine thousand, forty".