35350401550400 has 168 divisors, whose sum is σ = 89366783659776. Its totient is φ = 13756431155200.

The previous prime is 35350401550369. The next prime is 35350401550441. The reversal of 35350401550400 is 405510405353.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11150960 + ... + 13965840.

It is an arithmetic number, because the mean of its divisors is an integer number (531945140832).

Almost surely, 2^{35350401550400} 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 35350401550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44683391829888).

35350401550400 is an abundant number, since it is smaller than the sum of its proper divisors (54016382109376).

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

35350401550400 is a wasteful number, since it uses less digits than its factorization.

35350401550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815117 (or 2815102 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

Adding to 35350401550400 its reverse (405510405353), we get a palindrome (35755911955753).

The spelling of 35350401550400 in words is "thirty-five trillion, three hundred fifty billion, four hundred one million, five hundred fifty thousand, four hundred".