40698545126400 has 4752 divisors, whose sum is σ = 187063357178880. Its totient is φ = 8728628428800.

The previous prime is 40698545126399. The next prime is 40698545126411. The reversal of 40698545126400 is 462154589604.

It is a happy number.

40698545126400 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 85 + 4 + 512 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 557514316764 + ... + 557514316836.

Almost surely, 2^{40698545126400} is an apocalyptic number.

40698545126400 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 40698545126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93531678589440).

40698545126400 is an abundant number, since it is smaller than the sum of its proper divisors (146364812052480).

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

40698545126400 is a wasteful number, since it uses less digits than its factorization.

40698545126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 40698545126400 in words is "forty trillion, six hundred ninety-eight billion, five hundred forty-five million, one hundred twenty-six thousand, four hundred".