35427482438400 has 2592 divisors, whose sum is σ = 150955387611840. Its totient is φ = 8198317670400.

The previous prime is 35427482438399. The next prime is 35427482438423. The reversal of 35427482438400 is 483428472453.

35427482438400 is a `hidden beast` number, since 3 + 5 + 42 + 7 + 482 + 43 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×35427482438400³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40212805960 + ... + 40212806840.

It is an arithmetic number, because the mean of its divisors is an integer number (58238961270).

Almost surely, 2^{35427482438400} is an apocalyptic number.

35427482438400 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 35427482438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75477693805920).

35427482438400 is an abundant number, since it is smaller than the sum of its proper divisors (115527905173440).

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

35427482438400 is an equidigital number, since it uses as much as digits as its factorization.

35427482438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 35427482438400 in words is "thirty-five trillion, four hundred twenty-seven billion, four hundred eighty-two million, four hundred thirty-eight thousand, four hundred".