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40697969400 = 233352111741983
BaseRepresentation
bin100101111001110010…
…011011101011111000
310220001022102001112000
4211321302123223320
51131322140010100
630410230421000
72640351014004
oct457162335370
9126038361460
1040697969400
1116294a40860
127a79801760
133ab78605ca
141d81177704
1510d2e07900
hex979c9baf8

40697969400 has 768 divisors, whose sum is σ = 166039372800. Its totient is φ = 9050112000.

The previous prime is 40697969399. The next prime is 40697969407. The reversal of 40697969400 is 496979604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40697969407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41401309 + ... + 41402291.

It is an arithmetic number, because the mean of its divisors is an integer number (216197100).

Almost surely, 240697969400 is an apocalyptic number.

40697969400 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 40697969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83019686400).

40697969400 is an abundant number, since it is smaller than the sum of its proper divisors (125341403400).

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

40697969400 is a wasteful number, since it uses less digits than its factorization.

40697969400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 40697969400 in words is "forty billion, six hundred ninety-seven million, nine hundred sixty-nine thousand, four hundred".