949838400000 has 1440 divisors, whose sum is σ = 4072558089600. Its totient is φ = 216483840000.

The previous prime is 949838399999. The next prime is 949838400011. The reversal of 949838400000 is 4838949.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×949838400000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2721599826 + ... + 2721600174.

It is an arithmetic number, because the mean of its divisors is an integer number (2828165340).

Almost surely, 2^949838400000 is an apocalyptic number.

949838400000 is a gapful number since it is divisible by the number (90) 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 949838400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036279044800).

949838400000 is an abundant number, since it is smaller than the sum of its proper divisors (3122719689600).

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

949838400000 is an frugal number, since it uses more digits than its factorization.

949838400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 949838400000 in words is "nine hundred forty-nine billion, eight hundred thirty-eight million, four hundred thousand".