40398798950400 has 1248 divisors, whose sum is σ = 148439210175360. Its totient is φ = 9611771904000.

The previous prime is 40398798950351. The next prime is 40398798950423. The reversal of 40398798950400 is 405989789304.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95959142190 + ... + 95959142610.

It is an arithmetic number, because the mean of its divisors is an integer number (118941674820).

Almost surely, 2^{40398798950400} is an apocalyptic number.

40398798950400 is a gapful number since it is divisible by the number (40) 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 40398798950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74219605087680).

40398798950400 is an abundant number, since it is smaller than the sum of its proper divisors (108040411224960).

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

40398798950400 is a wasteful number, since it uses less digits than its factorization.

40398798950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 40398798950400 in words is "forty trillion, three hundred ninety-eight billion, seven hundred ninety-eight million, nine hundred fifty thousand, four hundred".