30982541990400 has 6720 divisors, whose sum is σ = 161001711230976. Its totient is φ = 5697257472000.

The previous prime is 30982541990371. The next prime is 30982541990429. The reversal of 30982541990400 is 409914528903.

30982541990400 is a `hidden beast` number, since 3 + 0 + 9 + 8 + 2 + 541 + 9 + 90 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30982541990371) and next prime (30982541990429).

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 289556467147 + ... + 289556467253.

Almost surely, 2^{30982541990400} is an apocalyptic number.

30982541990400 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 30982541990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80500855615488).

30982541990400 is an abundant number, since it is smaller than the sum of its proper divisors (130019169240576).

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

30982541990400 is a wasteful number, since it uses less digits than its factorization.

30982541990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 30982541990400 in words is "thirty trillion, nine hundred eighty-two billion, five hundred forty-one million, nine hundred ninety thousand, four hundred".