397774540800 has 3120 divisors, whose sum is σ = 1982095137792. Its totient is φ = 76441190400.

The previous prime is 397774540777. The next prime is 397774540843. The reversal of 397774540800 is 8045477793.

397774540800 is a `hidden beast` number, since 3 + 97 + 7 + 7 + 4 + 540 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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 239 ways as a sum of consecutive naturals, for example, 12831436785 + ... + 12831436815.

Almost surely, 2^397774540800 is an apocalyptic number.

397774540800 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 397774540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991047568896).

397774540800 is an abundant number, since it is smaller than the sum of its proper divisors (1584320596992).

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

397774540800 is a wasteful number, since it uses less digits than its factorization.

397774540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 397774540800 in words is "three hundred ninety-seven billion, seven hundred seventy-four million, five hundred forty thousand, eight hundred".