40419078698880 has 1152 divisors, whose sum is σ = 180958273236000. Its totient is φ = 8237536247808.

The previous prime is 40419078698879. The next prime is 40419078698891. The reversal of 40419078698880 is 8889687091404.

It is a happy number.

40419078698880 is a `hidden beast` number, since 4 + 0 + 419 + 0 + 78 + 69 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40419078698799 and 40419078698808.

It is a congruent number.

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, 90941836 + ... + 91385204.

Almost surely, 2^{40419078698880} is an apocalyptic number.

40419078698880 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 40419078698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90479136618000).

40419078698880 is an abundant number, since it is smaller than the sum of its proper divisors (140539194537120).

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

40419078698880 is a wasteful number, since it uses less digits than its factorization.

40419078698880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443444 (or 443422 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 40419078698880 in words is "forty trillion, four hundred nineteen billion, seventy-eight million, six hundred ninety-eight thousand, eight hundred eighty".