40878121489920 has 2880 divisors, whose sum is σ = 182887173900288. Its totient is φ = 8327135232000.

The previous prime is 40878121489913. The next prime is 40878121489991. The reversal of 40878121489920 is 2998412187804.

40878121489920 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 8 + 121 + 489 + 9 + 20 = 666.

40878121489920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22572125815 + ... + 22572127625.

Almost surely, 2^{40878121489920} is an apocalyptic number.

40878121489920 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 40878121489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91443586950144).

40878121489920 is an abundant number, since it is smaller than the sum of its proper divisors (142009052410368).

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

40878121489920 is a wasteful number, since it uses less digits than its factorization.

40878121489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 40878121489920 in words is "forty trillion, eight hundred seventy-eight billion, one hundred twenty-one million, four hundred eighty-nine thousand, nine hundred twenty".