398669040000 has 3200 divisors, whose sum is σ = 1998764190720. Its totient is φ = 76308480000.

The previous prime is 398669039981. The next prime is 398669040001. The reversal of 398669040000 is 40966893.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398669040001) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 8482319977 + ... + 8482320023.

Almost surely, 2^398669040000 is an apocalyptic number.

398669040000 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 398669040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999382095360).

398669040000 is an abundant number, since it is smaller than the sum of its proper divisors (1600095150720).

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

398669040000 is a wasteful number, since it uses less digits than its factorization.

398669040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 398669040000 in words is "three hundred ninety-eight billion, six hundred sixty-nine million, forty thousand".