40435477453404 has 192 divisors, whose sum is σ = 116271793128960. Its totient is φ = 12048775488000.

The previous prime is 40435477453381. The next prime is 40435477453433.

It is a happy number.

40435477453404 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 547 + 7 + 4 + 53 + 40 + 4 = 666.

40435477453404 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252905872 + ... + 253065704.

It is an arithmetic number, because the mean of its divisors is an integer number (605582255880).

Almost surely, 2^{40435477453404} is an apocalyptic number.

40435477453404 is a gapful number since it is divisible by the number (44) 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 40435477453404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58135896564480).

40435477453404 is an abundant number, since it is smaller than the sum of its proper divisors (75836315675556).

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

40435477453404 is a wasteful number, since it uses less digits than its factorization.

40435477453404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163409 (or 163401 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 54.

The spelling of 40435477453404 in words is "forty trillion, four hundred thirty-five billion, four hundred seventy-seven million, four hundred fifty-three thousand, four hundred four".