391400294400 has 864 divisors, whose sum is σ = 1470153091680. Its totient is φ = 103195607040.

The previous prime is 391400294387. The next prime is 391400294407. The reversal of 391400294400 is 4492004193.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (391400294407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2027980704 + ... + 2027980896.

Almost surely, 2^391400294400 is an apocalyptic number.

391400294400 is a gapful number since it is divisible by the number (30) 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 391400294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735076545840).

391400294400 is an abundant number, since it is smaller than the sum of its proper divisors (1078752797280).

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

391400294400 is a wasteful number, since it uses less digits than its factorization.

391400294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 391400294400 its reverse (4492004193), we get a palindrome (395892298593).

The spelling of 391400294400 in words is "three hundred ninety-one billion, four hundred million, two hundred ninety-four thousand, four hundred".