35425505214400 has 168 divisors, whose sum is σ = 99907041130400. Its totient is φ = 12111084195840.

The previous prime is 35425505214391. The next prime is 35425505214431. The reversal of 35425505214400 is 441250552453.

It is a super-3 number, since 3×35425505214400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622707 + ... + 8440306.

Almost surely, 2^{35425505214400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35425505214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49953520565200).

35425505214400 is an abundant number, since it is smaller than the sum of its proper divisors (64481535916000).

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

35425505214400 is a wasteful number, since it uses less digits than its factorization.

35425505214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063391 (or 9063376 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

Adding to 35425505214400 its reverse (441250552453), we get a palindrome (35866755766853).

The spelling of 35425505214400 in words is "thirty-five trillion, four hundred twenty-five billion, five hundred five million, two hundred fourteen thousand, four hundred".