949870894400 has 168 divisors, whose sum is σ = 2406332321184. Its totient is φ = 368831232000.

The previous prime is 949870894393. The next prime is 949870894429. The reversal of 949870894400 is 4498078949.

949870894400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11172050 + ... + 11256750.

Almost surely, 2^949870894400 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 949870894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203166160592).

949870894400 is an abundant number, since it is smaller than the sum of its proper divisors (1456461426784).

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

949870894400 is a wasteful number, since it uses less digits than its factorization.

949870894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84929 (or 84914 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 62.

The spelling of 949870894400 in words is "nine hundred forty-nine billion, eight hundred seventy million, eight hundred ninety-four thousand, four hundred".