35400413000 has 128 divisors (see below), whose sum is σ = 85267728000. Its totient is φ = 13750547200.

The previous prime is 35400412973. The next prime is 35400413011. The reversal of 35400413000 is 31400453.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4893386 + ... + 4900614.

It is an arithmetic number, because the mean of its divisors is an integer number (666154125).

Almost surely, 2^35400413000 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 35400413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42633864000).

35400413000 is an abundant number, since it is smaller than the sum of its proper divisors (49867315000).

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

35400413000 is a wasteful number, since it uses less digits than its factorization.

35400413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 35400413000 its reverse (31400453), we get a palindrome (35431813453).

The spelling of 35400413000 in words is "thirty-five billion, four hundred million, four hundred thirteen thousand".